To solve the equation Log4(12x+1) = 3, we need to rewrite it in exponential form.

In logarithmic form, the equation is stating that 4 raised to the power of 3 is equal to 12x + 1.
So, we have:

4^3 = 12x + 1

Solving the exponential equation:

64 = 12x + 1
12x = 63
x = 63/12
x = 5.25

Therefore, the solution to the equation Log4(12x+1) = 3 is x = 5.25.